1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex777 [14]
2 years ago
8

Question 7 Evaluate 2y + 3(y - 5) when y = 10 57 35

Mathematics
1 answer:
Ray Of Light [21]2 years ago
6 0

Answer:

Sustitute the y-values into the equation.

For y=10,

2(10) + 3 (10 - 5)

20 + 3(5)

20+15

35

For y=57,

2(57) + 3 (57 - 5)

114 + 156

270

For y=35

2(35) + 3 (35 - 5)

70 + 3(30)

70 + 90

160

:)

You might be interested in
Daily plans to eat 1/5 of his came burgh his 4 friends 1 him to share the rest equally show how daily in his friends can each eq
fomenos
They will get 3/8 of the buger
3 0
3 years ago
Can someone explain step by step how to do this problem? Thanks! Calculus 2
Ganezh [65]

Answer:

  1.314 MJ

Step-by-step explanation:

As water is removed from the tank, decreasing amounts are raised increasing distances. The total work done is the integral of the work done to raise an incremental volume to the required height.

There are a couple of ways this can be figured. The "easy way" involves prior knowledge of the location of the center of mass of a cone. Effectively, the work required is that necessary to raise the mass from the height of its center to the height of the discharge pipe.

The "hard way" is to write an expression for the work done to raise an incremental volume, then integrate that over the entire volume. Perhaps this is the method expected in a Calculus class.

<h3>Mass of water</h3>

The mass of the water being raised is the product of the volume of the cone and the density of water.

The cone volume is ...

  V = 1/3πr²h . . . . . . for radius 2 m and height 8 m

  V = 1/3π(2 m)²(8 m) = 32π/3 m³

The mass of water in the cone is then ...

  M = density × volume

  M = (1000 kg/m³)(32π/3 m³) ≈ 3.3510×10^4 kg

<h3>Center of mass</h3>

The center of mass of a cone is 1/4 of the distance from the base to the point. In this cone, it is (1/4)(8 m) = 2 m from the base.

<h3>Easy Way</h3>

The discharge pipe is 2 m above the base of the cone, so is 4 m above the center of mass. The work required to lift the mass from its center to a height of 4 m above its center is ...

  W = Fd = (9.8 m/s²)(3.3510×10^4 kg)(4 m) = 1.3136×10^6 J

<h3>Hard Way</h3>

As the water level in the conical tank decreases, the remaining volume occupies a space that is similar to the entire cone. The scale factor is the ratio of water depth to the height of the tank: (y/8). The remaining volume is the total volume multiplied by the cube of the scale factor.

  V(y) = (32π/3)(y/8)³

The differential volume at height y is the derivative of this:

  dV = π/16y²

The work done to raise this volume of water to a height of 10 m is ...

  (9.8 m/s²)(1000 kg/m³)(dV)((10 -y) m) = 612.5π(y²)(10 -y) J

The total work done is the integral over all heights:

  \displaystyle W=612.5\pi\int_0^8{(10y^2-y^3)}\,dy=\left.612.5\pi y^3\left(\dfrac{10}{3}-\dfrac{y}{4}\right)\right|_0^8\\\\W=612.5\pi\dfrac{2048}{3}\approx\boxed{1.3136\times10^6\quad\text{joules}}

It takes about 1.31 MJ of work to empty the tank.

8 0
1 year ago
Please answer! I give brainliest when I can! It make my day :-) ASAP :-(
hjlf

Answer:

A=1/2h(7+11) or A=1/2h(77)

The area is dependent on the height and the height changes based on the length of both of the bases

Step-by-step explanation:

7 0
2 years ago
Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxi
maksim [4K]

13.6 = 10, 3, 0.6

thats the answer

6 0
2 years ago
Katie buys 125,000 beads. She uses 108,246 to make bracelets. She goes back to the store and buys 100,000 more beads than she bo
Vinvika [58]

Answer:you multiply

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the
    17·2 answers
  • A sample is drawn from a well-shuffled deck of cards that contains 13 hearts, 13 clubs, 13 spades, and 13 diamonds. What is the
    8·1 answer
  • {c(1) = 3/16<br> {c(n)=c(n−1)⋅4<br> ​ <br><br> what is the 3rd term in this sequence?
    6·1 answer
  • 5. Louis has 21 coins in his pouch, how many nickels and<br> dimes does he have if he has $1.35?
    10·1 answer
  • A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFract
    12·2 answers
  • Help plzzzzz‼️‼️‼️‼️‼️‼️‼️‼️
    15·1 answer
  • Alex has 3,330 toothpicks . He wants to use them all to make a floor mat with 18 equal rows . How many toothpicks should Alex us
    15·2 answers
  • Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64
    9·1 answer
  • Elkins Pointe basketball team purchased equipment and uniforms for a total cost of $912. The equipment cost$612 and the uniforms
    11·2 answers
  • Please help my mom is gonna hit me if i don't get it right. <br> the answer is NOT 18
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!